A Collection of Maths Problem Solving Questions:

You are given the following information about the three sets A, B and C:
𝑛(𝐴∩𝐵∩𝐶)=𝑥 ; 𝑛(𝐴∩𝐵)=20 ; 𝑛(𝐴∩𝐶)=18 ; 𝑛(𝐵∩𝐶)=16 ; 𝑛(𝐴∩𝐵′∩𝐶′ )=4 ;
𝑛(𝐴′∩𝐵∩𝐶′ )=16 ; 𝑛(𝐴′∩𝐵′∩𝐶)=26 ; 𝑛(𝜉)=100 and 𝑛(𝐴′∩𝐵′∩𝐶′ )=𝑦 .
Express 𝑦 in terms of 𝑥 .
Find the greatest and least values of 𝑛(𝐴)
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